Finding the Fourth Proportional to 3,026.72, 4,538.06 and 1,178.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,026.72 : 4,538.06 = 1,178.02 : x
2. Step 2: Convert to fraction form
   3,026.72/4,538.06 = 1,178.02/x
3. Step 3: Cross multiply
   3,026.72x = 4,538.06 × 1,178.02
4. Step 4: Simplify right side
   3,026.72x = 5,345,921.85
5. Step 5: Solve for x
   x = 5,345,921.85/3,026.72
6. Step 6: Final answer
   x = 1,766.24